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Finding the Fourth Proportional to 8,230.80, 11,357.96 and 5,086.48

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Solution

The fourth proportional to 8,230.80, 11,357.96 and 5,086.48 is: 7,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.80 : 11,357.96 = 5,086.48 : x
  2. Step 2: Convert to fraction form
    8,230.80/11,357.96 = 5,086.48/x
  3. Step 3: Cross multiply
    8,230.80x = 11,357.96 × 5,086.48
  4. Step 4: Simplify right side
    8,230.80x = 57,772,036.38
  5. Step 5: Solve for x
    x = 57,772,036.38/8,230.80
  6. Step 6: Final answer
    x = 7,019.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.